The data in the table represent the number of pods on a random sample of soybean plants for various plot types. An agricultural researcher wants to determine if the mean numbers of pods for each plot type are equal.

(a) Write the null and alternative hypotheses.
(b) State the requirements that must be satisfied to use the one-way ANOVA procedure.
(c) Use the following Minitab output to test the hypothesis of equal means at the a = 0.05 level of significance.
One-way ANOVA: Liberty, No Till Chisel Plowed

(d) Shown are side-by-side boxplots of each type of plot. Do these boxplots support the results obtained in part (c)?

(e) Verify that the F-test statistic is 3.77.
(f) Verify the residuals are normally distributed.